Search a number
-
+
36252240 = 2435151051
BaseRepresentation
bin1000101001001…
…0101001010000
32112012210201120
42022102221100
533240032430
63333002240
7620065443
oct212225120
975183646
1036252240
1119510932
1210183380
137683a3b
144b5965a
1532b1610
hex2292a50

36252240 has 40 divisors (see below), whose sum is σ = 112382688. Its totient is φ = 9667200.

The previous prime is 36252221. The next prime is 36252253. The reversal of 36252240 is 4225263.

Added to its reverse (4225263) it gives a triangular number (40477503 = T8997).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36252240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75286 + ... + 75765.

Almost surely, 236252240 is an apocalyptic number.

36252240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36252240 is an abundant number, since it is smaller than the sum of its proper divisors (76130448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36252240 is a wasteful number, since it uses less digits than its factorization.

36252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151067 (or 151061 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 36252240 is about 6020.9833083974. The cubic root of 36252240 is about 330.9621141792.

Adding to 36252240 its reverse (4225263), we get a triangular number (40477503 = T8997).

The spelling of 36252240 in words is "thirty-six million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 151051 302102 453153 604204 755255 906306 1208408 1510510 1812612 2265765 2416816 3021020 3625224 4531530 6042040 7250448 9063060 12084080 18126120 36252240